Alg: Chapter 8 Review - Roots and Zeros of Polynomials

Factor the equation to find all of the roots. x³ + 125 = 0

• 5

• –5

• ± 5i

Simplify (x² – 2x – 35) ÷ (x + 5). Use synthetic division.

• x² – x – 30

• x – 7

• x + 5

• x³ + 3x² – 45x – 175

Which represents the correct synthetic division of (x² – 4x + 7) (x – 2)^–1 ?

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Factor m² + 9m + 14 completely.

• m(m + 23)

• (m + 14)(m + 1)

• (m + 7)(m + 2)

• m(m + 9) + 14

• y – 5

• y – 2

• y – 3

• y + 3

State the maximum number of real zeros for f(x) = 2x² – 4x + 3

(a)  

State the maximum number of turns for f(x) = 2x² – 4x + 3

(a)  

State the number of real zeros for the function whose graph is shown.

(a)  

Write the expression 10x⁸ – 6x⁴ – 20 in quadratic form, if possible.

• 10(x⁴)² – 6(x²)² – 20

• 10(x⁴)² – 6(x⁴) – 20

• 10(x²)⁴ – 6(x²)² – 20

• not possible

Solve x⁴ – 6x² – 27 = 0

• 3

• –3

• ± 3i